Given numbers are 756,598,133,119,272

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 756,598,133,119,272 is 292048848.

Find LCM of 756,598,133,119,272 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 17 x 27 x 299 x 19 x 1 x 4 = 292048848

Therefore, the lowest common multiple of 756,598,133,119,272 is 292048848.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

756 x 598 x 133 x 119 x 272 = 1946213523072

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

598 : 1, 2, 13, 23, 26, 46, 299, 598

133 : 1, 7, 19, 133

119 : 1, 7, 17, 119

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,598,133,119,272, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

598:2x 13x 23

133:7x 19

119:7x 17

272:2x 2x 2x 2x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 7x 7x 17 = 6664

Therefore, the value for common factors is 6664.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 1946213523072/(1x6664)

LCM = 1946213523072/6664

LCM = 292048848

Thus, we can understand that the LCM of 756,598,133,119,272 is 292048848.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 133, 999, 468, 163, 234
• LCM of 884, 558, 696, 592, 960
• LCM of 206, 800, 229, 964, 441
• LCM of 342, 414, 887, 680, 640
• LCM of 499, 636, 166, 431, 322

1. What is the LCM of 756, 598, 133, 119, 272?

Answer: LCM of 756, 598, 133, 119, 272 is 292048848.

2. How to calculate the LCM of 756, 598, 133, 119, 272?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 756, 598, 133, 119, 272.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.